Find a formula for the derivative of the function
![\[ f(x) = x^{-\frac{3}{2}} \qquad x > 0. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-0b800e93d161af4a8bf78fc633b6615f_l3.png "Rendered by QuickLaTeX.com")
Using the formula for the derivative of a rational power of 
, we have
![\[ f'(x) = -\frac{3}{2} x^{-\frac{5}{2}} \qquad x > 0. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-9466c9d7d764356ad4d29d71cb946355_l3.png "Rendered by QuickLaTeX.com")
Find a formula for the derivative of the function
Using the formula for the derivative of a rational power of , we have